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Scheme of Work

Qualification: BETC National Diplomain Mechanical Engineering/Year (2),Class (A)

Unit No:--- Unit Title: Foundation Mathematics

REF. CONTENT POSSIBLE ACTIVITIES RESOURCES

Week1&2 Be familiar with thedifferent sets ofNumbers(Basic Numeracy).

Whole class teaching

Introduction to unit

scheme of work

assessment requirements.

plotting of straight line graphs, choice ofaxes and explain how to rearrangeequations into straight line form.

demonstration of plotting of straight linegraphs with a minimum of three points toobtain point of intersection.

discuss the shape of the graphical plot of a

quadratic equation and the effects of thevarious parameters.

explain the formation of a table of valueswith possible use of computer to assist andthen demonstrate how to plot smoothcurves and the application to find the rootsof a quadratic equation.

Interactive white

board.

PowerPoint

presentation

(Teaching slides) Printed Lecture Notes.

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Students feedback questions and comments

related to the present lecture.

Week3&4 Be able to use advancedgraphical techniques

Recap

Students feedback questions and comments

related to previous lecture.

Quiz.

Whole class teaching

explain how by plotting a quadratic and

linear graph simultaneously the intersection

can be projected onto thex-axis to give theroots of an equation, eg Plot the graph of

22xy = and use the graph to solve the

equation

0432 2 =+ xx .

explain how laws which are not apparentlylinear can be reduced to give a straight linerelationship and then demonstrate thereduction of typical examples, eg

baxy +=2 , plotyagainst 2x .

revise the laws of logarithms and explain

how logarithms can be used to reduce laws

Interactive white

board.

PowerPoint

presentation

(Teaching slides)

Printed Lecture Notes.

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of the type naxy = to a straight line form.

Week5&6 Be able to use advancedgraphical techniques

Recap

Students feedback questions and comments

related to previous lecture.

Whole class teaching

to review the previous weeks work anddemonstration of solution of laws of the

type naxy = but using logarithmic graph

paper.

explain and demonstrate the differing typeof cubic equation, eg 1 root, 2 roots, 3 roots.

show how a table can be built up manually

and computer generated and demonstrateplotting of a cubic equation.

summarize all the previous weeks work

Interactive white

board.

PowerPoint

presentation

(Teaching slides)

Printed Lecture Notes.

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using manual and graphical techniques

Week7&8 Be able to apply algebraictechniques Recap

Students feedback questions and comments

related to previous lecture.

Quiz.

Whole class teaching

define an arithmetic progression and

express an arithmetic progression in termsof the first term (a) and the commondifference (d).

explain the expression for the nth term and

the sum to n terms define a geometricprogress and express a geometric

progression in terms of the first term (a)and the common ratio (r).

explain the expression for the nth term, the

Interactive white

board.

PowerPoint

presentation

(Teaching slides) Printed Lecture Notes.

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sum to n terms and the sum to infinity.

Week9&10 Be able to apply algebraictechniques Recap

Students feedback questions and commentsrelated to previous lecture.

Whole class teaching

introduce the idea of a complex number andexplain the Argand diagram.

demonstration of the algebra of complexnumbers in Cartesian form.

introduce the polar form of a complexnumber and demonstrate the algebra ofcomplex numbers in polar form.

Interactive white

board.

PowerPointpresentation

(Teaching slides)

Printed Lecture Notes.

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Week11&12 Be able to apply algebraic

techniques Recap Students feedback questions and comments

related to previous lecture.

Quiz.

Whole class teaching

discuss the relationship between the two

forms of complex number and demonstratethe use of a calculator to interchangebetween the two forms of a complex

number.

Interactive whiteboard.

PowerPoint

presentation

(Teaching slides)

Printed Lecture Notes.

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explain the application of complex numbersin practical situations, eg alternating currenttheory and mechanical vector analysis.

Week13&14 Be able to apply algebraictechniques

Recap

Students feedback questions and comments

related to previous lecture.

Whole class teaching

review the evaluation of the mean, medianand mode for discrete and grouped data

explain the significance of standarddeviation and variance and demonstrate the

evaluation of standard deviation andvariance for ungrouped data.

demonstrate the evaluation of standarddeviation and variance for grouped data and

Interactive white

board.

PowerPoint

presentation

(Teaching slides)

Printed Lecture Notes.

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show how to use the statistical functions oncalculators to obtain the mean, standarddeviation and variance.

Week8 Eid Al-Adha

Holiday

Week15&16 able to manipulatetrigonometric expressionsand apply trigonometrictechniques

Recap

Students feedback questions and comments

related to previous lecture.

Quiz.

Whole class teaching

to revise the relationship between degreesand radians.

explain amplitude, periodic time andfrequency and demonstrate the concept of

Interactive white

board.

PowerPoint

presentation(Teaching slides)

Printed Lecture Notes.

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graph sketching for periodic functions.

discuss shapes ofsinx, 2 sinx, sinx, sin

2xfor values ofxbetween 0 and 360 byusing Powerpoint demonstration

Week17&18 able to manipulatetrigonometric expressionsand apply trigonometrictechniques

Recap

Students feedback questions and comments

related to previous lecture.

Quiz.

Whole class teaching

using Powerpoint to demonstrate the

Interactive white

board.

PowerPoint

presentation

(Teaching slides) Printed Lecture Notes.

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concepts of phase angle and phasedifference followed by a demonstration ofhow a single wave results from acombination of two waves of the same

frequency using graphs and phasoraddition.

introduce the compound angle formulae anddemonstrate its use followed by anexplanation of the expansion of

R sin (wt +????) in the form a cos wt + b sin

wt and then lead learners in solution ofsimple problems.

Week19&20 Be able to apply calculus

Recap Students feedback questions and comments related

to previous lecture.

Quiz.

Interactive whiteboard.

PowerPoint

presentation

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Whole class teaching

revise the concept of differentiation andreview of standard derivatives.

demonstration of the differentiation ofdifferent functions, including polynomial,exponential and the differentiation ofvarious combinations of sums oftrigonometric functions.

(Teaching slides)

Printed Lecture Notes.

Week21&22 Be able to apply calculus Recap

Students feedback questions and comments related

to previous lecture.

Whole class teaching

demonstrate methods of differentiation offunctions using function of a function,product and quotient rules

Interactive white

board.

PowerPoint

presentation

(Teaching slides)

Printed Lecture Notes.

Week23&24 Be able to apply calculus Recap

Students feedback questions and comments related

to previous lecture.

Interactive white

board.

PowerPoint

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Whole class teaching

demonstrate the evaluation of differential

coefficients and introduce the concept ofsuccessive differentiationand applications, eg velocity and

acceleration.

presentation

(Teaching slides)

Printed Lecture Notes.

Week25&26 Be able to apply calculus Recap

Students feedback questions and comments related

to previous lecture.

Whole class teaching

introduce the idea of stationary points andshow how to evaluate maximum andminimum values for a rangeof functions

demonstrate calculation ofmaximum/minimum values for practicalapplications.

Interactive white

board.

PowerPoint

presentation(Teaching slides)

Printed Lecture Notes.

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Week27&28 Be able to apply calculus

Recap

Students feedback questions and comments related

to previous lecture.

Quiz.

Whole class teaching

revise the concept of integration and reviewof standard integrals, indefinite integration,constant of integration and definiteintegration.

demonstrate evaluation of definite integrals

and application eg area under a curve.

Interactive white

board.

PowerPoint

presentation

(Teaching slides)

Printed Lecture Notes.

Week29&30 Be able to apply calculus

Recap

Students feedback questions and comments related

to previous lecture.

Whole class teaching

demonstrate the application of integrationto calculate the mean (average) values

demonstrate the application of integration

to calculate the root mean square (rms)values

Interactive white

board.

PowerPoint

presentation

(Teaching slides)

Printed Lecture Notes.

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Week31&32 Be able to apply calculus

Recap

Students feedback questions and comments related

to previous lecture.

Quiz.

Whole class teaching

explain the three methods for finding areasof irregular shapes

discuss the idea of linking the three

methods and comparing with integration tofind the area under a curve.

Interactive white

board.

PowerPoint

presentation

(Teaching slides)

Printed Lecture Notes.

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